Finding the Third Proportional to 384,840 and 573,156

Step by Step Solution

1. Step 1: Write the proportion equation
   384,840 : 573,156 = 573,156 : x
2. Step 2: Convert to fraction form
   384,840/573,156 = 573,156/x
3. Step 3: Cross multiply
   384,840x = 573,156 × 573,156
4. Step 4: Simplify right side
   384,840x = 328,507,800,336
5. Step 5: Solve for x
   x = 328,507,800,336/384,840
6. Step 6: Final answer
   x = 853,621.77